Question

A group of students were asked if they carry a credit card. The responses are listed in the table.a.If a student is selected at random, find the probability that he or she owns a credit card given that the student is a sophomore.b.If a student is selected at random, find the probability that he or she is a freshman given that the student owns a credit card.c.If a student is selected at random, find the probability that he or she is a sophomore and owns a credit card.

Answer 1

According to the table we have:

a) The probability that a student owns a credit card given that the student is a sophomore is given by:

$P=\frac{6}{40}=0.15$

Answer a: 0.15

b) The probability that a student is a freshman given that the student owns a credit card is:

$P=\frac{11}{17}=0.65$

Answer b: 0.65

c) The probability that a student is a sophomore and owns a credit card. is:

$P=\frac{6}{100}=0.06$

Answer c: 0.06